APPROXIMATE SOLUTION OF AN INHOMOGENEOUS ABSTRACT DIFFERENTIAL EQUATION

被引：0
|
作者：
Vitasek, Emil [1 ]
机构：
[1] Acad Sci Czech Republic, Inst Math, CZ-11567 Prague 1, Czech Republic
来源：
APPLICATIONS OF MATHEMATICS | 2012年 / 57卷 / 01期
关键词：
abstract differential equations; semigroups of operators; rational approximations; A-stability;
D O I：
10.1007/s10492-012-0003-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, we have developed the necessary and sufficient conditions under which a rational function F(hA) approximates the semigroup of operators exp(tA) generated by an infinitesimal operator A. The present paper extends these results to an inhomogeneous equation u'(t) = Au(t) + f(t).
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页码：31 / 41
页数：11
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